102823120 has 20 divisors (see below), whose sum is σ = 239063940. Its totient is φ = 41129216.

The previous prime is 102823109. The next prime is 102823141. The reversal of 102823120 is 21328201.

It can be written as a sum of positive squares in 2 ways, for example, as 79281216 + 23541904 = 8904^2 + 4852^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 642565 + ... + 642724.

It is an arithmetic number, because the mean of its divisors is an integer number (11953197).

Almost surely, 2^102823120 is an apocalyptic number.

102823120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102823120 is an abundant number, since it is smaller than the sum of its proper divisors (136240820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102823120 is a wasteful number, since it uses less digits than its factorization.

102823120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285302 (or 1285296 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 102823120 is about 10140.1735685342. The cubic root of 102823120 is about 468.4863330216.

The spelling of 102823120 in words is "one hundred two million, eight hundred twenty-three thousand, one hundred twenty".